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nilrider:: new level, cycloid slalom

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This commit is contained in:
Zeno Rogue 2024-08-18 01:30:10 +02:00
parent 2821ecc170
commit 034c381544
1 changed files with 51 additions and 1 deletions
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52
rogueviz/nilrider/levels.cpp
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@ -58,6 +58,32 @@ ld long_x(hyperpoint h) {
return h[0] * h[1];
}
ld cycloid(ld x) {
// for x from 0 to TAU, returns y from 0 to 2
ld alpha = binsearch(0, TAU, [x] (ld a) {
ld ax = a - sin(a);
return ax >= x;
}, 20);
return 1 - cos(alpha);
}
ld cycloid_wave(ld x) {
/* static bool test = true;
if(test) {
for(ld a=0; a<TAU; a += 0.01) printf("%5.3f : %5.3f\n", a, cycloid(a));
exit(1);
} */
int i = floor(x);
ld xf = x - i;
return cycloid(xf * TAU) * ((i&1) ? -1 : 1) / TAU;
}
ld brachistochrone(hyperpoint h) {
ld res = -cycloid_wave(h[0] / 63) * 63 + h[0] * h[1] + h[1] * h[1] / 5;
if(h[1] == 0) println(hlog, h, " -> ", res);
return res;
}
ld geodesics_0(hyperpoint h) {
ld r = hypot_d(2, h);
ld phi = atan2(h[1], h[0]);
@ -808,8 +834,32 @@ level hilbertlev(
}
);
level cycloid_slalom(
"Cycloid slalom", 'c', nrlSwapTriangleOrder,
"The main street is a brachistochrone. If you were not moving north/south, "
"it would be the fastest path to get to the goal. Is it still the case "
"in these physics? Definitely not if you have to collect on the way!",
-0.5*dft_block, 2.5*dft_block, 63.5*dft_block, -5.5*dft_block,
{
"gggggggG*GggggrgggggG*GgggggrggggggG*GgggggrggggG*Rgggggrggggggo",
"gggggggGGGggggggggggGGGggggggggggggGGGggggggggggGGGggggggggggggo",
"---------------------------------------------------------------*",
"gggggggggggggGGGgggggggggggGGGggggggggggggGGGggggggggggGGGgggggo",
"ggggggggrggggG*GgggggrgggggG*GggggggrgggggG*GggggrgggggG*Ggggggo",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
},
0, 2,
brachistochrone,
{
goal{0xFFFFC0, "Collect all triangles in below 1:25, reversing time at most 3 times", basic_check(85, 3)},
goal{0xFFD500, "Collect all triangles in below 1:10, reversing time at most 3 times", basic_check(70, 3)},
}
);
vector<level*> all_levels = {
&rotplane, &longtrack, &geodesical, &geodesical4, &heisenberg0, &rotwell, &labyrinth, &obstacle, &spirallev, &hilbertlev
&rotplane, &longtrack, &geodesical, &geodesical4, &heisenberg0, &rotwell, &labyrinth, &obstacle, &spirallev, &hilbertlev, &cycloid_slalom
};
}